Atkin-Lehner |
2+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127160a |
Isogeny class |
Conductor |
127160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1537988738916608000 = 211 · 53 · 114 · 177 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11- 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26214323,-51660165522] |
[a1,a2,a3,a4,a6] |
j |
40301032281655122/31112125 |
j-invariant |
L |
2.4019703801492 |
L(r)(E,1)/r! |
Ω |
0.066721363557704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7480b3 |
Quadratic twists by: 17 |